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Simplifying 6(s + -4) + 1 = 3s + 7 Reorder the terms: 6(-4 + s) + 1 = 3s + 7 (-4 * 6 + s * 6) + 1 = 3s + 7 (-24 + 6s) + 1 = 3s + 7 Reorder the terms: -24 + 1 + 6s = 3s + 7 Combine like terms: -24 + 1 = -23 -23 + 6s = 3s + 7 Reorder the terms: -23 + 6s = 7 + 3s Solving -23 + 6s = 7 + 3s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-3s' to each side of the equation. -23 + 6s + -3s = 7 + 3s + -3s Combine like terms: 6s + -3s = 3s -23 + 3s = 7 + 3s + -3s Combine like terms: 3s + -3s = 0 -23 + 3s = 7 + 0 -23 + 3s = 7 Add '23' to each side of the equation. -23 + 23 + 3s = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 3s = 7 + 23 3s = 7 + 23 Combine like terms: 7 + 23 = 30 3s = 30 Divide each side by '3'. s = 10 Simplifying s = 10
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